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805+ (Hard)|   Tables|            
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1) Bach+ Handel+Mozart = 1388+757+3035 = 5180
Total performace = 24722
quick check- 5*5= 25 so the total performance needs to be <=25. Ans- Yes

2) Proko- 931
Puccini- 723
Rach- 673
Ravel- 864
Strauss- 779
Stravin- 849
Verdi- 845
Therefore, exactly 7 composers. Ans- Yes

3) Bach- 1388 (Died in 1750, least recent in comparison to others)
Shosta- 779 (Died in 1975, most recent in comparison to others)
779*2 = 1558 which is more than number of performance by Bach (1338). Ans- No
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Question33of250
IR14200.01


For each of 20 composers, the table lists the year of birth, the year of death, and the number of performances in 2010 of works written by that composer.

Sort By: Year of birth
Composer Year of birth Year of death Number of performances
Handel 1685 1759 757
Bach 1685 1750 1,388
Haydn 1732 1809 989
Mozart 1756 1791 3,035
Beethoven 1770 1827 2,859
Schubert 1797 1828 1,023
Mendelssohn 1809 1847 865
Chopin 1810 1849 748
Schumann 1810 1856 1,460
Verdi 1813 1901 845
Brahms 1833 1897 1,848
Tchaikovsky 1840 1893 2,295
Dvořák 1841 1904 1,071
Puccini 1858 1924 723
Strauss 1864 1949 720
Rachmaninov 1873 1943 673
Ravel 1875 1937 864
Stravinsky 1882 1971 849
Prokofiev 1891 1953 931
Shostakovich 1906 1975 779
Total — — 24,722






For each of the following statements, select Yes if the statement accurately reflects the information in the table; otherwise select No.

A. Composers born in the 1700s accounted for less than a third of the total performances.


OFFICIAL ANSWER IS YES but if you do the calculation with the calculator the answer should be NO

a snippet of the solution by GMAC is attached next.
The experts kindly help explain. Is it me or does GMAT make errors? never observed one before.
Attachments

File comment: official solution in the OG online 2020
GMAT SNIPPET.JPG
GMAT SNIPPET.JPG [ 39.24 KiB | Viewed 13054 times ]

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Ekland
Question33of250
IR14200.01


For each of 20 composers, the table lists the year of birth, the year of death, and the number of performances in 2010 of works written by that composer.

Sort By: Year of birth
Composer Year of birth Year of death Number of performances
Handel 1685 1759 757
Bach 1685 1750 1,388
Haydn 1732 1809 989
Mozart 1756 1791 3,035
Beethoven 1770 1827 2,859
Schubert 1797 1828 1,023
Mendelssohn 1809 1847 865
Chopin 1810 1849 748
Schumann 1810 1856 1,460
Verdi 1813 1901 845
Brahms 1833 1897 1,848
Tchaikovsky 1840 1893 2,295
Dvořák 1841 1904 1,071
Puccini 1858 1924 723
Strauss 1864 1949 720
Rachmaninov 1873 1943 673
Ravel 1875 1937 864
Stravinsky 1882 1971 849
Prokofiev 1891 1953 931
Shostakovich 1906 1975 779
Total — — 24,722






For each of the following statements, select Yes if the statement accurately reflects the information in the table; otherwise select No.

A. Composers born in the 1700s accounted for less than a third of the total performances.


OFFICIAL ANSWER IS YES but if you do the calculation with the calculator the answer should be NO

a snippet of the solution by GMAC is attached next.
The experts kindly help explain. Is it me or does GMAT make errors? never observed one before.


a quick use of the calculator provided by GMAC shows clearly that 7906 divided by 24722 gives you 0.319 which is NOT less than 30% but actually exactly 31%.

Am i missing a new instruction or new math style in the GMAT? Bunuel chetan2u kindly advice.
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Official Explanation

RO1

Sorting the table by Year of death shows that 3 composers died in the 1700s: Bach, Handel, and Mozart. The sum of the number of performances for these composers (1,388+757+3,035) is 5,180. Dividing this sum by the total number of performances (24,722) yields 0.20953, showing that performances of these 3 composers’ work accounted for more than 20% of the total, or more than one-fifth.

The correct answer is Yes.

RO2

To have lived in both the 1800s and the 1900s, a composer would need to have been born prior to 1900 and to have died after 1899. Sorting the table by Year of birth shows that 1 composer, Shostakovich, was born after 1900. Sorting again by Year of death shows that 11 composers died before 1899. That leaves 8 composers (20−1−11=8) who lived in both the 1800s and the 1900s. Only 1 of these, Dvořák, had his work performed 1,000 or more times; the other 7 had their work performed fewer than 1,000 times.

The correct answer is Yes.

RO3

Sorting the table by Year of death shows that Bach died least recently, in 1750, and Shostakovich died most recently, in 1975. Bach’s works were performed 1,388 times, and Shostakovich’s were performed 779 times. Two times 779 is 1,558, and 1,388 is not greater than 1,558. Thus, Bach’s works were not performed more than twice as often as Shostakovich’s.

The correct answer is No.
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Would love some suggestions on how do you manage time on a question like. I got this right, but spent almost 5 minutes.

Would you use the calculator straight away? how do you decide before doing an approximation, whether it would work here or not, as after approximating, I found the numbers were quite close, and hence had to go back to the calculator.

KarishmaB
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Statement 1: After sorting the table
Bach 1388
Handel 757
Mozart 3035
Total of 5180. The total for all 24722, 1/5 of 24722 is ~ <5000 so yes these composers account for more than 1/5 of the total number of performances.
So Yes
Statement 2: After sorting the table, only Dvorak has greater than 1000 performances.
Stravinsky 849
Prokofiev 931
Strauss 720
Raclunaninov 673
Ravel 864
Puccini 723
Dvorak 1071- not part of the subset required by the question
Verdi 845
So Yes.
Statement 3: After sorting Bach died the least recently with 1705 as the year of death. The number of performance is 1388. Shostakovich died recently in 1975. The number of performances is 779.
1388 is not more than twice 779.
So No
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For Q2, why have we not considered Dvorak? He too lived in 1800s and 1900s, making the answer no, since no. of performances of his work exceed 1,000.
parkhydel
For each of the 20 composers of classical music, the table gives the year of birth, the year of death, and the number of live performances of the composer’s works in 2010.
ComposerYear of birthYear of deathNumber of performances
Bach168517501388
Beethoven177018272859
Brainns183318971848
Chopin18101849748
Dvorak184119041071
Handel 16851759757
Haydn 17321809989
Mendelssohn 18091847865
Mozart175617913035
Prokofiev18911953931
Puccini18581924723
Raclunaninov18731943673
Ravel18751937864
Schubert179718281023
Schumann181018561460
Shostakovich19061975779
Strauss18641949720
Stravinsky18821971849
Tchaikovsky184018932295
Verdi18131901845
Total--24722
(Sort ↕ the table by clicking on the headers)

For each of the following statements about the composers listed in the table, select Yes if the statement accurately reflects the information in the table. Otherwise, select No.­
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KRNSW
For Q2, why have we not considered Dvorak? He too lived in 1800s and 1900s, making the answer no, since no. of performances of his work exceed 1,000.

I think you may have missed Verdi or some other folk, because I can see & count there are exactly 7 fellows who lived in both 1800's and 1900's and have less than 1000 performance
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